In this paper we present some new existence results for singular boundary value problems by Arzela-Ascoli theorem. In particular our nonlinearity may be singular in its dependent variable.
Zakharov equations have a fairly abundant physical background. In this paper, the existence of the weak global solution for quantum Zakharov equations for the plasmas model is obtained by means of the Arzela-Ascoli th...Zakharov equations have a fairly abundant physical background. In this paper, the existence of the weak global solution for quantum Zakharov equations for the plasmas model is obtained by means of the Arzela-Ascoli theorem, Faedo-Galerkin methods, and compactness property.展开更多
The compactness criterion in l◇={x（·）∈l^∞（0,∞））｜lim t→∞ x（t）=x（∞）} is given and as an application,we study the existence of positive solutions of second order boundary value problems of differenc...The compactness criterion in l◇={x（·）∈l^∞（0,∞））｜lim t→∞ x（t）=x（∞）} is given and as an application,we study the existence of positive solutions of second order boundary value problems of difference equation on the half line by the fixedpoint theorem in cones.展开更多
文摘In this paper we present some new existence results for singular boundary value problems by Arzela-Ascoli theorem. In particular our nonlinearity may be singular in its dependent variable.
基金supported by the National Natural Science Foundation of China(Nos.10871075 and 11101160)the Natural Science Foundation of Guangdong Province of China(Nos.9451064201003736 and 9151064201000040)
文摘Zakharov equations have a fairly abundant physical background. In this paper, the existence of the weak global solution for quantum Zakharov equations for the plasmas model is obtained by means of the Arzela-Ascoli theorem, Faedo-Galerkin methods, and compactness property.
基金The NSF(11626188,11671322)of ChinaGansu Provincial NSF(1606RJYA232)of China and NWNU-LKQN-15-16
文摘The compactness criterion in l◇={x（·）∈l^∞（0,∞））｜lim t→∞ x（t）=x（∞）} is given and as an application,we study the existence of positive solutions of second order boundary value problems of difference equation on the half line by the fixedpoint theorem in cones.
基金Supported by The National Natural Science Foundation of P.R.China(60764003)The Major Project of The Ministry of Education of P.R.China(207130)The Scientific Research Programmes of Colleges in Xinjiang (XJEDU2007G01,XJEDU2006I05)
